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Finding the Fourth Proportional to 465.34, 694.49 and 454.42

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Solution

The fourth proportional to 465.34, 694.49 and 454.42 is: 678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.34 : 694.49 = 454.42 : x
  2. Step 2: Convert to fraction form
    465.34/694.49 = 454.42/x
  3. Step 3: Cross multiply
    465.34x = 694.49 × 454.42
  4. Step 4: Simplify right side
    465.34x = 315,590.15
  5. Step 5: Solve for x
    x = 315,590.15/465.34
  6. Step 6: Final answer
    x = 678.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.